## Fundamental Terms and Ideas

### Place

Al Betty Carrie Dave Edith Frank
1st G I G G J I
2nd H H H H G H
3rd J J J J H J
4th I G I I I G

THIS IS A SET OF 6 PREFERENCE BALLOTS.

 Preference Schedule A preference schedule is a table which summarizes the results of all the individual preference ballots for an election. Look back at the 6 preference ballots in the example just above. Notice that 3 voters (Al, Carrie, and Dave) cast identical preference ballots (G, H, J, I), 2 other voters (Betty and Frank) cast the same preference ballot (I, H, J, G) and 1 voter (Edith) cast the preference ballot (J, G, H, I). A preference SCHEDULE summarizes the election results as follows:

### Place

3 2 1
1st G I J
2nd H H G
3rd J J H
4th I G I
 THIS IS A PREFERENCE SCHEDULE. Notice that the preference schedule compactly summarizes the votes in the election by grouping identical preference ballots together along with a count of how many voters cast each identical preference ballot.  IMPORTANT IDEA An entire class of voting methods is based on the use of a preference schedule. Not surprisingly, voting methods in this class are called preferential voting methods. In this course, we will explore 4 popular preferential voting methods.

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